Cork, J. and Harland, D. orcid.org/0000-0002-4593-3547 (2023) Geometry of Gauged Skyrmions. Symmetry, Integrability and Geometry: Methods and Applications, 19. 071. ISSN 1815-0659
Abstract
A work of Manton showed how skymions may be viewed as maps between riemannian manifolds minimising an energy functional, with topologically non-trivial global minimisers given precisely by isometries. We consider a generalisation of this energy functional to gauged skyrmions, valid for a broad class of space and target 3-manifolds where the target is equipped with an isometric G-action. We show that the energy is bounded below by an equivariant version of the degree of a map, describe the associated BPS equations, and discuss and classify solutions in the cases where G=U(1) and G=SU(2).
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | This item is protected by copyright. This is an open access article under the terms of the Creative Commons Attribution-ShareAlike License (CC BY-SA 4.0). |
Keywords: | skyrmions; topological solitons; BPS equations |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 19 Sep 2023 15:25 |
Last Modified: | 21 Nov 2023 15:34 |
Status: | Published |
Publisher: | National Academy of Science of Ukraine |
Identification Number: | 10.3842/SIGMA.2023.071 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:203407 |